Cosmetic formulations containing a cosmetic active and a continuous phase comprising a water-immiscible liquid carrier, such as, amongst other materials, silicone oils, branched aliphatic alcohols or liquid aromatic/aliphatic esters that is structured by a cyclodipeptide derivative having the general formula ##STR00001## in which R.sub.A represents a carbocyclic or heterocyclic group containing not more than 2 rings, other than unsubstituted cyclohexyl.